135987533667216 has 2240 divisors, whose sum is σ = 543173743226880. Its totient is φ = 31877364879360.

The previous prime is 135987533667179. The next prime is 135987533667241. The reversal of 135987533667216 is 612766335789531.

135987533667216 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 8 + 7 + 533 + 6 + 6 + 72 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 124416773166 + ... + 124416774258.

Almost surely, 2^{135987533667216} is an apocalyptic number.

135987533667216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135987533667216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271586871613440).

135987533667216 is an abundant number, since it is smaller than the sum of its proper divisors (407186209559664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135987533667216 is a wasteful number, since it uses less digits than its factorization.

135987533667216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1475 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 135987533667216 in words is "one hundred thirty-five trillion, nine hundred eighty-seven billion, five hundred thirty-three million, six hundred sixty-seven thousand, two hundred sixteen".